Question 1

The first three terms of a geometric sequence are

x

,

x+6

, and

x+24

. What is the value of

x

?

Accepted Answer

3

Answer

4

Answer

6

Answer

2

Question 2

An infinite geometric series has a first term of

x

and a sum of

x+6

. What is the common ratio

x+24

of this sequence?

Accepted Answer

1/3

Answer

1/2

Answer

2/3

Answer

1/4

Question 3

The 4th term of a geometric sequence is

x

and the 7th term is

x+6

. What is the common ratio

x+24

of this sequence?

Accepted Answer

3

Answer

2

Answer

9

Answer

27

Question 4

The 2nd term of a geometric sequence is

x

and the 5th term is

x+6

. What is the 1st term (

x+24

) of the sequence?

Accepted Answer

50

Answer

25

Answer

20

Answer

100

Question 5

If the sum of the first

x

terms of a geometric sequence is given by the formula

x+6

, what is the first term

x+24

and the common ratio

x

?

Accepted Answer

a_1 = 3, r = 2

Answer

a_1 = 6, r = 2

Answer

a_1 = 3, r = 3

Answer

a_1 = 1, r = 2

Question 6

An infinite geometric series has a common ratio of

x

and a sum of

x+6

. What is the first term

x+24

of this sequence?

Accepted Answer

25

Answer

45

Answer

5

Answer

9

Question 7

Insert two geometric means between

x

and

x+6

. What are the two missing terms in this geometric sequence?

Accepted Answer

25 and 125

Answer

25 and 75

Answer

50 and 500

Answer

15 and 45

Question 8

Which of the following values of

x

would result in an infinite geometric series that does NOT have a finite sum?

Accepted Answer

-1.2

Answer

0.99

Answer

-0.8

Answer

0.5

Question 9

The second term of a geometric sequence is

x

and the fifth term is

x+6

. What is the tenth term of the sequence?

Accepted Answer

78732

Answer

8748

Answer

26244

Answer

236196

Question 10

The sum of the first three terms of a geometric sequence is

x

and their product is

x+6

. What is the common ratio

x+24

of the sequence? (Assume

x

)

Accepted Answer

3

Answer

4

Answer

2

Answer

9

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